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##### Warm Up May 15 th

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**Warm Up May 15th**• Please pick up the sheet on the cart and practice plotting those points. • A: (4, 150°) • B: (-5, 195°) • C: (0, 105°) • D: (6, -30°) • E: (-7, -105°) • F: (6, 330°) • G: (7, -315°)**Homework Check/Questions #1***FLOWER***Homework Check/Questions #2***HEART OR APPLE***Polar Graphing**Converting Points & Equations between polar and rectangular**“Equivalent” Points…**• Which of the following polar coordinate pairs represent the same point as the point with polar coordinates (2, 105º)? • (2, -75º) • (-2, -75º) • (-2, -105º) • (-2, -255º) • (-2, 285º)**Point conversion…**• Convert the point with polar coordinates to rectangular coordinates… x = rcos y = rsin **Point conversion…**• Convert the point with rectangular coordinates to polar coordinates… r2 = x2 + y2 tan = y/x (then put in the correct quadrant)**Practice…**NO Calculator… • Convert (-3, -3) to polar coordinates. • Convert (6, π) to rectangular coordinates. • Convert (-4, 2π/3) to rectangular. • Calculator Active… (round to 3 decimal places) • Convert (-2, 5) to polar coordinates. • Convert (10, 172º) to rectangular coordinates.**Equation ConversionPolar to Rectangular***It’s all about substitution* Examples: • r = 3 • = /4 • r = csc • r = 2cos **Equation ConversionRectangular to Polar***It’s all about substitution* Examples • y = 2 • x2 + y2 = 25 • 2x + 3y = -3 • x2 + y2 - 8x = 0**Practice**Convert the equations from polar to rectangular. Convert the equations from rectangular to polar. 3) x2 – 3y = 0 4) 5x - y = 1